Angle Relationships
Congruent & Supplementary
Parallel?!?
Missing!!!
Bonus
100
Which angles are the same side of a transversal and inside the parallel lines?
Same side interior angles.
100
Line l is parallel to Line m, and Line s intersects l and m.
The angle relationships is true.
A.∠1≅∠7 and∠3≅∠5 B.∠1≅∠8 and∠4≅∠6 C.∠1≅∠5 and∠2≅∠7 D. ∠1≅∠4 and∠6≅∠7
What is A?
100
DOUBLE POINT QUESTION!
Two lines are cut by a transversal.
What must be true about the alternate interior angles in order to prove the two lines are parallel?
They are congruent.
100
In the figure, Parallel Lines r and s are cut by Line t.
What is the value of x?
49
100
In the diagram below, transversal t intersects parallel lines m and n.
Find the value of x.
116
200
What type of angles are on the opposite side of a transversal and outside the parallel lines?
Alternate exterior angles
200
If Line l is parallel to Line m, which pair of angles are not supplementary?
A. ∠4 and ∠8 B. ∠3 and ∠1 C. ∠2 and ∠5 D. ∠1 and ∠7
A
200
Two lines are cut by a transversal.
What are two possible measures of a pair of same side interior angles that would prove that the lines are parallel?
Answer varies, SS angles must be supplementary.
200
In the diagram, parallel lines l and m are cut by transversal t.
Find the value of x
29
200
DOUBLE POINT QUESTION!
In the diagram, lines l and m are parallel lines cut by transversal line p.
Find the value of x.
23
300
In the figure, lines l and m are parallel lines cut by transversal p.
Andrea said that if m∠2=40°, then m∠3 must also be equal to 40°. What is the justification to Andrea’s statement?
Corresponding angles are congruent when a transversal cuts parallel lines.
300
The figure below shows a pair of parallel lines intersected by Line FC.
Which angles in the figure are congruent?
A. ∠AED and ∠DEG B. ∠FEG and ∠BDC C. ∠BDC and ∠BDE D. ∠AEF and ∠BDC
B
300
In the diagram below, parallel lines l and m are cut by transversal k.
Name the pairs of angles that are alternate interior angles.
3 and 6, 4 and 5
300
DOUBLE POINT QUESTION!
In the figure below, Lines a and b are parallel.
What is the value of y?
27
300
In the figure below, AB is parallel to CD.
What type of angle relationship do ∠3 and ∠7 have?
Corresponding angles (are congruent)
400
DOUBLE POINT QUESTION! In the diagram, parallel lines b and c are cut by transversal t. Provide the missing reasons needed to prove that ∠1≅∠8.
1. ∠1 ≅∠4 since _______.
2. ∠4 ≅∠5 since _______.
3. ∠5 ≅∠8 since _______.
4. ∠1 ≅∠8 due to the transitive property of equality.
1. Vertical angles are congruent.
2. Alternate interior angles are congruent.
3. Vertical angles are congruent.
400
DOUBLE POINT QUESTION!
In the figure below, Lines ℓ and m are parallel. Lines s and t are transversals of Lines ℓ and m and intersect at a point on Line ℓ.
Which conclusion is not true about the angles formed:
A. m∠6=m∠14 B. m∠2+m∠3=m∠10
C. m∠14 + m∠7 = 180° D. m∠9 = m∠3
D
400
In the figure, Lines a and b are intersected by Line t.
Which statement proves that Lines a and b are parallel.
A. ∠1≅∠2 B. ∠2≅∠3 C. ∠1 and ∠2 are supplementary D. ∠1 and ∠3 are supplementary
B
400
In the figure below, Line ℓ is parallel to Line m. Transversals p and q cut through Lines ℓ and m, and intersect at a point on Line ℓ.
If the measure of Angle 1 is 55° and the measure of Angle 3 is 53°, what is the measure of Angle 2?
72
400
At an airport, runways 12L and 12R are parallel and are intersected by a third runway.
Mike calculated the value of x to be 115°. What statement justifies Mike’s calculations?
Same side interior angles are supplementary when lines are parallel.